Continuum Mechanics Modeling of Material Behavior,
Edition 1
By Martin H. Sadd, Ph.D.

Publication Date: 28 Mar 2018

Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries: kinematics of motion and deformation; force and stress measures; and general principles of mass, momentum and energy balance.

The book then moves beyond other books by dedicating several chapters to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity. Linear multiple field problems of thermoelasticity, poroelasticity and electoelasticity are also presented. Discussion of nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials are also given. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics.

Key Features

  • Offers a thorough, concise and organized presentation of continuum mechanics formulation
  • Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems
  • Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study
  • Features extensive use of exercises, providing more material for student engagement and instructor presentation
About the author
By Martin H. Sadd, Ph.D., Mechanical Engineering & Applied Mechanics Department, University of Rhode Island, USA
Book details
ISBN: 9780128114742
Page Count: 432
Retail Price : £93.99
  • Lai, Introduction to Continuum Mechanics 4e, Butterworth Heinemann, Aug 2009, 9780750685603, $104.00
  • Sadd, Elasticity: Theory, Application, and Numerics 3e,  Academic Press, Feb 2014, 9780124081369, $120.00
  • Kundu, Fluid Mechanics 6e, Academic Press, Jun 2015, 9780124059351, $130.00
  • Bechtel and Lowe, Fundamentals of Continuum Mechanics: With Applications to Mechanical, Thermomechanical, and Smart Materials,  Academic Press, Nov 2014, 9780123946003, $120.00

Graduate students majoring in several different technology disciplines including engineering science, mechanics, and mechanical, civil, aerospace and materials engineering